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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
500312511000625039 ~1991
500331075003310719 ~1993
500354231050743883111 ~1996
500366631000733279 ~1991
500374333002245999 ~1992
500392431000784879 ~1991
500396031000792079 ~1991
500407191000814399 ~1991
500410911000821839 ~1991
500419191000838399 ~1991
500437571951706523111 ~1997
500441391000882799 ~1991
500442591000885199 ~1991
50044663170151854310 ~1994
500450631000901279 ~1991
500453213002719279 ~1992
500461791000923599 ~1991
500474991000949999 ~1991
500477991000955999 ~1991
500479614003836899 ~1993
500486115004861119 ~1993
500488791000977599 ~1991
500491791000983599 ~1991
500533791001067599 ~1991
500533878008541939 ~1993
Exponent Prime Factor Digits Year
50053799600645588110 ~1995
500545333003271999 ~1992
500546573003279439 ~1992
500564391001128799 ~1991
500570991001141999 ~1991
500573631001147279 ~1991
500576773003460639 ~1992
500592591001185199 ~1991
500599791001199599 ~1991
500605791001211599 ~1991
500612991001225999 ~1991
500623191001246399 ~1991
500624475006244719 ~1993
500629213003775279 ~1992
500629813003778879 ~1992
500633391001266799 ~1991
500646133003876799 ~1992
500648511001297039 ~1991
500651519011727199 ~1993
500656494005251939 ~1993
500656791001313599 ~1991
500669031001338079 ~1991
500674431001348879 ~1991
500688839613225536111 ~1998
500695613004173679 ~1992
Exponent Prime Factor Digits Year
500709591001419199 ~1991
500712711001425439 ~1991
500738511001477039 ~1991
500740013004440079 ~1992
500744991001489999 ~1991
50074853120179647310 ~1994
500754231001508479 ~1991
500755791001511599 ~1991
500763111001526239 ~1991
500771511001543039 ~1991
500772111001544239 ~1991
500776911001553839 ~1991
500786631001573279 ~1991
500787831001575679 ~1991
500806191001612399 ~1991
500825031001650079 ~1991
500830794006646339 ~1993
500836791001673599 ~1991
500839974006719779 ~1993
500843835008438319 ~1993
500846631001693279 ~1991
500850231001700479 ~1991
500872911001745839 ~1991
500873333005239999 ~1992
500879031001758079 ~1991
Exponent Prime Factor Digits Year
500902194007217539 ~1993
500905311001810639 ~1991
500907231001814479 ~1991
500914911001829839 ~1991
500927533005565199 ~1992
500932133005592799 ~1992
500934231001868479 ~1991
50093569200374276110 ~1994
500939413005636479 ~1992
500944911001889839 ~1991
500957631001915279 ~1991
500960991001921999 ~1991
500962431001924879 ~1991
500965311001930639 ~1991
500975391001950799 ~1991
500977791001955599 ~1991
500983191001966399 ~1991
500986275009862719 ~1993
500988711001977439 ~1991
500991111001982239 ~1991
500996391001992799 ~1991
500997111001994239 ~1991
500997231001994479 ~1991
501006795010067919 ~1993
501015591002031199 ~1991
2178
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25-12-14